We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.
On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum / Barnea Y; Vannacci M. - In: JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - ISSN 0219-4988. - ELETTRONICO. - 18:(2019), pp. 1-8. [10.1142/S0219498819502165]
On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum
Vannacci M
2019
Abstract
We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.File in questo prodotto:
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